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Finding the Fourth Proportional to 216,123.52, 297,893.44 and 144,477.40

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Solution

The fourth proportional to 216,123.52, 297,893.44 and 144,477.40 is: 199,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,123.52 : 297,893.44 = 144,477.40 : x
  2. Step 2: Convert to fraction form
    216,123.52/297,893.44 = 144,477.40/x
  3. Step 3: Cross multiply
    216,123.52x = 297,893.44 × 144,477.40
  4. Step 4: Simplify right side
    216,123.52x = 43,038,869,688.26
  5. Step 5: Solve for x
    x = 43,038,869,688.26/216,123.52
  6. Step 6: Final answer
    x = 199,140.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.